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Simplifying -5(p + 2) + -3p + 5 = -5 + 8p Reorder the terms: -5(2 + p) + -3p + 5 = -5 + 8p (2 * -5 + p * -5) + -3p + 5 = -5 + 8p (-10 + -5p) + -3p + 5 = -5 + 8p Reorder the terms: -10 + 5 + -5p + -3p = -5 + 8p Combine like terms: -10 + 5 = -5 -5 + -5p + -3p = -5 + 8p Combine like terms: -5p + -3p = -8p -5 + -8p = -5 + 8p Add '5' to each side of the equation. -5 + 5 + -8p = -5 + 5 + 8p Combine like terms: -5 + 5 = 0 0 + -8p = -5 + 5 + 8p -8p = -5 + 5 + 8p Combine like terms: -5 + 5 = 0 -8p = 0 + 8p -8p = 8p Solving -8p = 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -8p + -8p = 8p + -8p Combine like terms: -8p + -8p = -16p -16p = 8p + -8p Combine like terms: 8p + -8p = 0 -16p = 0 Divide each side by '-16'. p = 0 Simplifying p = 0
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